Pith Number

pith:MXUTT62O

pith:2017:MXUTT62OX5QM535KY7GNRUNA2B

not attested not anchored not stored refs pending

D Alemberts solution of fractional wave equations using complex fractional transformation

Md Ramjan Ali, Santanu Raut, Shantanu Das, Susmita Sarkar, Uttam Ghosh

arxiv:1712.07334 v1 · 2017-12-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXUTT62OX5QM535KY7GNRUNA2B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:27:34.762044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e939fb4ebf60ceefaac7ccd8d1a0d061ef3ffa41345edbffb88daae3b481cd

Aliases

arxiv: 1712.07334 · arxiv_version: 1712.07334v1 · doi: 10.48550/arxiv.1712.07334 · pith_short_12: MXUTT62OX5QM · pith_short_16: MXUTT62OX5QM535K · pith_short_8: MXUTT62O

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MXUTT62OX5QM535KY7GNRUNA2B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 65e939fb4ebf60ceefaac7ccd8d1a0d061ef3ffa41345edbffb88daae3b481cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f009d1b5e783e75b5a3f5f74c65ad2ca46c11bbed2c03282f43cda4588d050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-20T06:26:19Z",
    "title_canon_sha256": "aa0d5085040702a29cfacc6417ab4f3db75068d0ae69a79353e10af4df16bd28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07334",
    "kind": "arxiv",
    "version": 1
  }
}